A graphical edge method to solve dispersion equation of lamb waves

  • Bing Li
  • , Peng Duan
  • , Lei Qiang
  • , Jie Zhuo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

Lamb wave dispersion curves are the fundamental of Lamb waves-based research and engineering application. Numerical solution is the only way to solve Rayleigh-Lamb equation and then the dispersion curves are obtained. Traditional-bisection method requires complex root intervals analyzing. A graphical-edge method is presented to simplify the process of solving dispersion equation of Lamb wave. First, solution intervals of the Lamb wave dispersion equation are divided and the standard dispersion equation is modified. Next, the graphical method is used to visualize abstract formulas. Combined with graphic boundary extraction method, the phase velocity dispersion curves are plotted. Graphic edge method can represent complex and abstract formulas graphically, simplifies the solution process and improves the solution efficiency.

Original languageEnglish
Title of host publicationProceedings of the First Symposium on Aviation Maintenance and Management
PublisherSpringer Verlag
Pages471-479
Number of pages9
EditionVOL. 1
ISBN (Print)9783642542350
DOIs
StatePublished - 2014
Event2013 1st Symposium on Aviation Maintenance and Management - Xi'an, China
Duration: 25 Nov 201328 Nov 2013

Publication series

NameLecture Notes in Electrical Engineering
NumberVOL. 1
Volume296 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference2013 1st Symposium on Aviation Maintenance and Management
Country/TerritoryChina
CityXi'an
Period25/11/1328/11/13

Keywords

  • Dispersion equation
  • Graphical edge method
  • Lamb waves
  • Phase velocity

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